Asymptotics of the solution of the Cauchy problem with an unstable spectrum and prolonging loss of stability

DOI10.1134/S1995080224600845zbMATH Open1547.34085MaRDI QIDQ6586793

Dilmurat Abdillazhanovich Tursunov, Kudaĭberdi Gaparalievich Kozhobekov, A. S. Sadieva, È. A. Tursunov

Publication date: 13 August 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

singular perturbationsmall parameterCauchy problembisingular problemunstable spectrumstationary phase methodasymptotic expansion of solutionsystem of ordinary differential equations with small parameter at derivativeprolongation of loss of stability

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Stability of solutions to ordinary differential equations (34D20) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

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